jee-advanced 2002 Q27

jee-advanced · India · screening Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution

27. Let $\mathrm { T } > 0$ be a fixed real number. Suppose f is a continuous function such that for all $x \varepsilon R . f ( x + T )$ If $I = \int _ { T 0 } f ( x ) . d x$ then the value of $\int _ { 3 } { } ^ { 3 + 3 T }$ is
(A) $( 3 / 2 ) \mathrm { I }$
(B) I
(C) 3 I
(D) 6 I

27. Let $\mathrm { T } > 0$ be a fixed real number. Suppose f is a continuous function such that for all $x \varepsilon R . f ( x + T )$ If $I = \int _ { T 0 } f ( x ) . d x$ then the value of $\int _ { 3 } { } ^ { 3 + 3 T }$ is\\
(A) $( 3 / 2 ) \mathrm { I }$\\
(B) I\\
(C) 3 I\\
(D) 6 I\\

Paper Questions

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